Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function

Abstract

Abstract This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms of the extended Wright function. In addition, along with the noted outcomes, the implications are also highlighted.

Keywords

• Extended Mittag-Leffler function
• Srivastava polynomial
• Wright-type hypergeometric functions
• Extended Wright-type hypergeometric functions